Question

Divide the sum of 11/6 and 3/4 by their difference

Answer 1

Answer:

31/13

Step-by-step explanation:

Sum of 11/6 and 3/4

$\frac{11}{6} + \frac{3}{4} \\ = \frac{22 + 9}{12} \\ = \frac{31}{12}$

Difference of 11/6 and 3/4

$\frac{11}{6} - \frac{3}{4} \\ = \frac{22 - 9}{12} \\ \frac{13}{12}$

Now,divide the sum of 11/6 and 3/4 by their difference

$\frac{31}{12} \div \frac{13}{12} \\ = \frac{31}{12} \times \frac{12}{13} = \frac{31}{13}$

Answer 2

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so,

★ sum of both fraction

$=\frac{11}{6}+\frac{3}{4}\\=\frac{22+9}{12}\\=\frac{31}{12}$

◇ difference of both fraction.

$=\frac{11}{6}-\frac{3}{4}\\=\frac{22-9}{12}\\=\frac{13}{12}$

Now,

○ Divide the sum and difference of both.

$=\frac{31}{12}÷\frac{13}{12}\\= \frac{31}{12}×\frac{12}{13}\\=\frac{31}{13}$